Yes and no, as you can push yourself hard enough without it happening, as in my case, but of course under working yourself would also produce no DOMS.

On the flip side DOMS could also occur from overtaxing yourself.

So in answer to your parting question, the answer would be yes and no.

You'll get your definitive answer if you keep training in such ways, probably within the next 4-6 weeks, depending on whather you are still able to train properly, or start having "faulty" sessions that you can't finish and start feeling wrong.